vocabulary

Question 1

how does a constant function look on a graph?

Answer 1

horizontal line

Question 2

define quadratic

Answer 2

polynomial function with the highest exponent being 2

Question 3

whats the shape of a quadratic called?

Answer 3

parabala

Question 4

what are the 5 methods to solve a quadratic

Answer 4

factoring, graphing, formula, complete the square, square roots

Question 5

define factoring

Answer 5

to write something out as multiplication

Question 6

whats always the first step in factoring?

Answer 6

gcf

Question 7

what do you need to have for factoring?

Answer 7

leading coefficient must be positive

Question 8

define square

Answer 8

numbers that have a rational square root

Question 9

what needs to be true for a variable to be squared

Answer 9

needs to have an even exponenet

Question 10

define perfect cube

Answer 10

taking the cube root of something and getting a rational number

Question 11

what to the exponents of veriables need to be to be considered a “perfect cube”

Answer 11

a multiple of 3

Question 12

what does the index on a radical tell you?

Answer 12

tells you to what root the radicand is being taken, if no index, then its to the square root

Question 13

what does the coefficent of a radical do?

Answer 13

you multiply this by the radical as you’re going

Question 14

what does the radical in a radical do?

Answer 14

its the symbol that divides the radicand from the index and coefficent

Question 15

what does the radicand do in a radical?

Answer 15

its the number being taken down by the index number

Question 16

if a radical has an even index and an odd radicand, what happens?

Answer 16

the radical is undefined

Question 17

what can we assume when using variables in radicals?

Answer 17

that its a real number

Question 18

When do you need an absolute value bar on the coefficient of a radical?

Answer 18

When theres an even index, original problem has an even exponent (under radical), and if theres an odd exponent in the answer

Question 19

When will you NEVER need an absolute value bar in a radical?

Answer 19

when theres an odd index (such as 3)

Question 20

6 (index=3)√5

Answer 20

six cube root of 5

Question 21

what are extremas called that are either the lowest of the minimums or the highest of the maximums

Answer 21

absolute extrema (min/max)

Question 22

What are all extremas called regardless of their size in relation to other extremas

Answer 22

relative extrema

Question 23

what are factors called when its the same binomial with opposite signs?
(x+5)(x-5)

Answer 23

congugates

Question 24

what does standard form mean? are there usually fractions

Answer 24

you are supposed to multiply out the factors and there usually arent fractions

Question 25

the max number of zeroes in any function is directly based on the number of the ________

Answer 25

degree

Question 26

the max number of relative zeros is the same number as the

Answer 26

degree - 1

Question 27

true/false: every absolute extrema is a relative extrema

Answer 27

true

Question 28

true/false: every relative extrema is an absolute extrema

Answer 28

false

Question 29

Polynomial functions and their name by degree: 0

Answer 29

constant

Question 30

Polynomial functions and their name by degree: 1

Answer 30

linear

Question 31

Polynomial functions and their name by degree: 2

Answer 31

quadratic

Question 32

Polynomial functions and their name by degree: 3

Answer 32

cubic

Question 33

Polynomial functions and their name by degree: 4

Answer 33

quartic

Question 34

Polynomial functions and their name by degree: 5

Answer 34

quintic

Question 35

Polynomial functions and their name by degree: 6

Answer 35

6th degree polynomial

Question 36

Polynomial functions and their name by degree: 99

Answer 36

99th degree polynomial

Question 37

behavior of a graph as x approaches positive infinity and negative infinity

Answer 37

end behavior

Question 38

where the graph crosses the x-axis

Answer 38

real zeroes

Question 39

coefficient of the term with the highest degree

Answer 39

leading coefficient

Question 40

for a polynomial of one variable, its the greatest exponent of its variable

Answer 40

degree

Question 41

key on the calc that can be used when you’re trying to find when an equation has an exact x given.
F(5), F(1/2), F(0.999)

Answer 41

store

Question 42

what does the word “polynomials” mean?

Answer 42

many terms

Question 43

a comparison of things that aren’t equal

Answer 43

inequality

Question 44

numbers that can be plotted on a number line (1/2, 5, -0.22222, square root of anything positive)

Answer 44

real

Question 45

the positive integer whole numbers (1,55, square root of a perf square)

Answer 45

natural

Question 46

a number that can be expressed as a fraction with a denominator other than zero (5, 1/6, -8/13)

Answer 46

rational

Question 47

any number that can be counted as a whole with no parts (1, 2, 7, -33)

Answer 47

whole

Question 48

cannot be expressed on a number line (square root of a negative)

Answer 48

imaginary

Question 49

a set of positive/negative whole numbers excluding zero (-12, 15, 1, 2/1)

Answer 49

integer

Question 50

numbers with a decimal that doesnt simplify, cannot be written as a fraction ( 0.123257483928347)

Answer 50

irrational